Free Printable Perfect Squares, Cubes and Roots Review

1.

14²=

a)

7

b)

28

c)

169

d)

196

2.

Which number is NOT a perfect square?

a)

196

b)

169

c)

121

d)

132

3.

√100

a)

15

b)

10

c)

11

d)

12

4.

√225

a)

13

b)

16

c)

18

d)

15

5.

√16

a)

4

b)

8

c)

2

d)

9

6.

√64

a)

3

b)

8

c)

7

d)

6

7.

√121

a)

12

b)

10

c)

11

d)

3

8.

The number 16 is a

a)

perfect square

b)

perfect cube

9.

Select the answer with all perfect squares.

a)

-144, 9, 50, 75, 81, 100

b)

9, 50, 75, 81, 100

c)

9, 50, 81, 100

d)

9, 81,100

10.

Solve for x when x³ = 125

a)

5

b)

10

c)

12

d)

15

11.

Solve for x when x² = 144

a)

4

b)

11

c)

12

d)

14

12.

Solve for p when p² = 100.

a)

1,000

b)

10

c)

0.10

d)

-0.10

13.

Find the cube root(s): ∛1

a)

1

b)

-1

c)

±1

d)

none

14.

∛8

a)

2

b)

-2

c)

±2

d)

None

15.

√ 36

a)

4

b)

6

c)

9

d)

12

16.

13²

a)

26

b)

196

c)

144

d)

169

17.

4

a)

Is a perfect square.

b)

Is not a perfect square.

18.

Is 225 a perfect square?

a)

Yes

b)

No

19.

True or false? 9² = 18

a)

True

b)

False

20.

Find the cube root of 125:

a)

41.67

b)

25

c)

5

21.

What is 2 cubed?

2³

a)

8

b)

6

c)

4

d)

16

22.

What is 5 cubed?

5³

a)

125

b)

25

c)

15

d)

625

23.

Which number is both a perfect square and a perfect cube?

a)

64

b)

27

c)

81

d)

16

24.

Evaluate ∛1

a)

1

b)

2

c)

3

d)

4

25.

∛8

a)

2

b)

4

c)

1

d)

64

26.

∛125

a)

5

b)

4

c)

6

d)

7

27.

$-\sqrt{144}$

a)

12

b)

-12

c)

-72

d)

none of the above (imaginary number)

28.

$\sqrt{-144}$

a)

12

b)

-12

c)

72

d)

none of the above (imaginary number)

29.

The area of a square painting is 81 $cm^2$ . What is the length of one side?

a)

9

b)

-9

c)

40.5

d)

-40.5

30.

$\sqrt{\left(\frac{16}{81}\right)}\ \ =\ ?$

a)

$\frac{8}{27}$

b)

$\frac{8}{9}$

c)

$\frac{4}{9}$

d)

$\frac{4}{3}$

31.

Solve for p when $p^2=100$

a)

$\pm10$

b)

10

c)

$\pm1,000$

d)

1,000

32.

Solve for x when $x^3=\frac{1}{8}$

a)

2

b)

$\frac{1}{64}$

c)

$\frac{1}{3}$

d)

$\frac{1}{2}$

33.

A cube with side length s has a volume of 64 cubic units. What is the length of one side?

a)

4

b)

8

c)

16

d)

32

34.

Select the set with all perfect squares.

a)

-144, 9, 50, 75, 81, 100

b)

9, 50, 81, 100

c)

9, 50, 75, 81, 100

d)

9, 81, 100

35.

$\sqrt{144}$

a)

12

b)

100

c)

11

d)

13

36.

$\sqrt{36}$

a)

3

b)

6

c)

7

d)

18

Perfect Squares, Cubes and Roots Review

Total questions: 36

Worksheet time: 47mins

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